AeowynK535549 AeowynK535549

30-10-2022
Mathematics

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A building inspector needs to determine if two walls in a new house are built at right angles, as the buildingcode requires. He measure and find the following information. Wall 1 measures 12 feet, wall 2 measures 14feet, and the distance from the end of wall 1 to the end of wall 2 measures 18 feet. Do the walls meet at rightangles? Explain

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KonstanceR545660 KonstanceR545660

30-10-2022

A right triangle is made, where lengths of the walls are the legs and the distance from the end of wall 1 to the end of wall 2 is the hypotenuse.

If there is a right angle, the Pythagorean theorem must be satisfied.

12² + 14² = 18²

144 + 196 = 324

340 ≠ 324

Then, the walls don't meet at a right angle.

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